Title
Real-valued Choquet integrals with fuzzy-valued integrand
Abstract
The Choquet integral of a real-valued function defined on a set of attributes with respect to a signed fuzzy measure is generalized for allowing a fuzzy-valued function to be its integrand while keeping its value to be a crisp real number. Thus, the Choquet integral can be used as a defuzzifying aggregation tool to deal with data set involving categorical attributes, linguistic variables, and/or fuzzy numbers. A numerical method with the relevant algorithm is developed to estimate the value of the Choquet integral for any given fuzzy-valued function.
Year
DOI
Venue
2006
10.1016/j.fss.2005.06.006
Fuzzy Sets and Systems
Keywords
Field
DocType
linguistic variable,fuzzy sets,data mining,fuzzy-valued function,fuzzy numbers,fuzzy-valued integrand,real-valued choquet integral,signed fuzzy measures,information fusion,relevant algorithm,numerical method,categorical attribute,fuzzy measure,fuzzy number,defuzzifying aggregation tool,crisp real number,real-valued function,choquet integrals,fuzzy set,value function,choquet integral
Discrete mathematics,Fuzzy measure theory,Fuzzy logic,Fuzzy set,Choquet theory,Choquet integral,Fuzzy number,Real number,Real-valued function,Mathematics
Journal
Volume
Issue
ISSN
157
2
Fuzzy Sets and Systems
Citations 
PageRank 
References 
13
1.03
10
Authors
4
Name
Order
Citations
PageRank
Zhenyuan Wang168490.22
Rong Yang2553.68
Pheng-Ann Heng33565280.98
Kwong-Sak Leung41887205.58